{
  "id": "1111.5879",
  "version": "v1",
  "published": "2011-11-25T01:46:10.000Z",
  "updated": "2011-11-25T01:46:10.000Z",
  "title": "Hölder Continuity of the Data to Solution Map for HR in the Weak Topology",
  "authors": [
    "David Karapetyan"
  ],
  "comment": "12 pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "It is shown that the data to solution map for the hyperelastic rod equation is H\\\"older continuous from bounded sets of Sobolev spaces with exponent $s > 3/2$ measured in a weaker Sobolev norm with index $r < s$ in both the periodic and non-periodic cases. The proof is based on energy estimates coupled with a delicate commutator estimate and multiplier estimate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-25T01:46:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53"
    ],
    "keywords": [
      "solution map",
      "weak topology",
      "hölder continuity",
      "hyperelastic rod equation",
      "delicate commutator estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.5879K"
    }
  }
}